Results 21 to 30 of about 325,624 (274)
Regularization and asymptotic expansion of certain distributions defined by divergent series
International Journal of Mathematics and Mathematical Sciences, 1995 The regularization of the distribution ∑n=−∞∞δ(x−pn). which gives a regularized value to the divergent series ∑n=−∞∞φ(pn) is obtained in several spaces of test functions. The asymptotic expansion as ϵ→0+of series of the type ∑n=0∞φ(ϵ pn) is also obtained.
Ricardo Estrada
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An Alternative Approach to Energy Eigenvalue Problems of Anharmonic Potentials
Advances in Mathematical Physics, 2014 Energy eigenvalues of quartic and sextic type anharmonic potentials are obtained by using an alternative method called asymptotic Taylor expansion method (ATEM) which is an approximate approach based on the asymptotic Taylor series expansion of a ...
Okan Ozer, Halide Koklu
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On the Sharp Gårding Inequality for Operators with Polynomially Bounded and Gevrey Regular Symbols
Mathematics, 2020 In this paper, we analyze the Friedrichs part of an operator with polynomially bounded symbol. Namely, we derive a precise expression of its asymptotic expansion.
Alexandre Arias Junior, Marco Cappiello
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New Asymptotic Expanstion Method for the Wheeler-DeWitt Equation
, 1995 A new asymptotic expansion method is developed to separate the Wheeler-DeWitt equation into the time-dependent Schr\"{o}dinger equation for a matter field and the Einstein-Hamilton-Jacobi equation for the gravitational field including the quantum back ...
C. Gundlach +30 more
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Large Order Behavior of Quasiclassical Euclidean Gravity in Minisuperspace Models [PDF]
, 1996 We demonstrate in two minisuperspace models that a perturbation expansion of quasiclassical Euclidean gravity has a factorial dependence on the order of the term at large orders. This behavior indicates that the expansion is an asymptotic series which is
Fugleberg, T., Zhitnitsky, A.
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, 2005 We establish the existence of the asymptotic expansion of the Bergman kernel associated to the spin-c Dirac operators acting on high tensor powers of line bundles with non-degenerate mixed curvature (negative and positive eigenvalues) by extending the ...
Andreotti A. +9 more
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Determinants of Laplacians on discretizations of flat surfaces and analytic torsion
Comptes Rendus. Mathématique, 2020 We study the asymptotic expansion of the determinants of the graph Laplacians associated to discretizations of a half-translation surface endowed with a unitary flat vector bundle. By doing so, over the discretizations, we relate the asymptotic expansion
Finski, Siarhei
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An asymptotic expansion for a ratio of products of gamma functions
International Journal of Mathematics and Mathematical Sciences, 2000 An asymptotic expansion of a ratio of products of gamma functions is derived. It generalizes a formula which was stated by Dingle, first proved by Paris, and recently reconsidered by ...
Wolfgang Bühring
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Asymptotic expansion in approximation by normal law
Lietuvos Matematikos Rinkinys, 2011 We consider the asymptotic behavior of the convolution P*n(A\sqrt{n}) of a k-dimensional probability distribution P(A) as n \to \infty for A from the \sigma-algebra M of Borel subsets of Euclidian space Rk or from its subclasses.
Algimantas Bikelis +2 more
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Asymptotic expansion for inverse moments of binomial and Poisson distributions
, 2005 An asymptotic expansion for inverse moments of positive binomial and Poisson distributions is derived. The expansion coefficients of the asymptotic series are given by the positive central moments of the distribution.
Znidaric, Marko
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